# Dissipative quantum Church-Turing theorem.

@article{Kliesch2011DissipativeQC, title={Dissipative quantum Church-Turing theorem.}, author={Martin Kliesch and Thomas Barthel and Christian Gogolin and Michael J. Kastoryano and Jens Eisert}, journal={Physical review letters}, year={2011}, volume={107 12}, pages={ 120501 } }

We show that the time evolution of an open quantum system, described by a possibly time dependent Liouvillian, can be simulated by a unitary quantum circuit of a size scaling polynomially in the simulation time and the size of the system. An immediate consequence is that dissipative quantum computing is no more powerful than the unitary circuit model. Our result can be seen as a dissipative Church-Turing theorem, since it implies that under natural assumptions, such as weak coupling to an…

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